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85435771837 = 1319733360317
BaseRepresentation
bin100111110010001011…
…1100110101110111101
322011112011110220010211
41033210113212232331
52344433024144322
6103125413032421
76113115035623
oct1174427465675
9264464426124
1085435771837
11332622a19a9
1214684325711
13809734b160
1441c6a73513
152350802b77
hex13e45e6bbd

85435771837 has 8 divisors (see below), whose sum is σ = 92474801496. Its totient is φ = 78463463232.

The previous prime is 85435771783. The next prime is 85435771873. The reversal of 85435771837 is 73817753458.

It can be written as a sum of positive squares in 4 ways, for example, as 18882607396 + 66553164441 = 137414^2 + 257979^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85435771837 - 215 = 85435739069 is a prime.

It is a super-2 number, since 2×854357718372 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85435771937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16677598 + ... + 16682719.

It is an arithmetic number, because the mean of its divisors is an integer number (11559350187).

Almost surely, 285435771837 is an apocalyptic number.

It is an amenable number.

85435771837 is a deficient number, since it is larger than the sum of its proper divisors (7039029659).

85435771837 is a wasteful number, since it uses less digits than its factorization.

85435771837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33360527.

The product of its digits is 19756800, while the sum is 58.

The spelling of 85435771837 in words is "eighty-five billion, four hundred thirty-five million, seven hundred seventy-one thousand, eight hundred thirty-seven".

Divisors: 1 13 197 2561 33360317 433684121 6571982449 85435771837